Complex Analysis: Properties of Line Integrals

  • #1
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Homework Statement



Demonstrate that [tex]\int_{-\gamma} f(z)|dz|=\int_{\gamma} f(z)|dz|[/tex] where [tex]\gamma[/tex] is a piecewise smooth path and f is a function that is continuous on [tex]|\gamma|[/tex].


Homework Equations





The Attempt at a Solution



This proof seems like it should be very simple, but I am not sure it is really saying that it's just turning a path around to go in the opposite direction. Could someone please help me out? Thanks.
 

Answers and Replies

  • #2
HallsofIvy
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Consider the substitution u= -z.
 

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